Miscible fingering in electrokinetic flow

Yuxing Ben, Evgeny A. Demekhin, Pavlo V. Takhistov, Hsueh Chia Chang

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Abstract

Analysis is carried out to examine the miscible fingering phenomenon when a fluid with a lower electrolyte concentration advances into one with a higher concentration. Unlike earlier miscible fingering theories, the linear stability analysis is carried out in the self-similar coordinates of the diffusing front. The dominant destabilizing mode is shown to be a localized concentration disturbance within the diffusive layer. However, transverse diffusion is shown to eventually stabilize the instability at time t=tc that scales as b8/3 where b is the breadth of the channel, and lengthen the dominant transverse wavelength as t3/8 in the interim. With these scaling laws, we arrive at the conclusion that transient fingering is insignificant in sub-millimeter micro-devices which use electrokinetic flow to transport biological and environmental electrolyte samples.

Original languageEnglish (US)
Pages (from-to)15-24
Number of pages10
JournalJournal of the Chinese Institute of Chemical Engineers
Volume33
Issue number1
Publication statusPublished - Jan 1 2002
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)

Keywords

  • Diagnostic kits
  • Electrokinetic flow
  • Micro-fluidics
  • Miscible fingering

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